Blender won't start on Tails 1.4 (Debian)
The problem is that you are trying to run a 64-bit version of Blender on a 32-bit system. Go to download.blender.org, click on the "GNU/Linux" tab, and click the 32-bit button. Then, extract the archive and run the blender executable.

For a more in-depth explanation of the error message, check out this answer on unix.stackexchange.com.